Numerical Solution of Differential Equations with Problems in Physics. Numerical Solution of Ordinary and Partial Differential Equations : Problems in Physics Illustrated

      Аннотация: The Numerical analysis is taught in undergraduate mathematics, physics, engineering and post graduate physics classes. The solution of differential equation is basic need in these courses, where the numerical method is the main tool to solve ordinary and partial differential equations, described in the textbook with fully-worked examples followed by the concerned theory and schematic representation of algorithm. The text is divided into four topics: The Solution of 1st order ODE,Solution of 2nd order ODE,Linear Boundary value problem and the Solution of PDE. The topics includes eleven methods: The Euler & Modified Euler, Runge-Kutta, Predictor-Corrector, Numerov, Taylor, Finite difference, Linear Shooting, Gauss Elimination, Gauss Jordan, Gauss seidal & SOR, Forward & Central difference and the Crank Nicholson. The methods are followed by applied examples, Computational Formulae and Objective & Subjective Exercises. The work is greatly useful to the under graduate students of maths, science and engineering moreover it is a good reference material for the teachers to conduct course covering numerical methods in concerned disciplines.

Ключевые слова: Numerical Methods, Differential Equations, Problems in physics